An example of \(2\times 2\) hyperbolic conservation laws admitting delta-shock waves

zbMath1262.35165MaRDI QIDQ1941528

Hiroki Ohwa

Publication date: 13 March 2013

Published in: Nihonkai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nihmj/1363096198

zbMATH Keywords

Riemann problem

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65)

Cites Work

• Unnamed Item
• A vanishing viscosity approach on the dynamics of phase transitions in van der Waals fluids
• A limiting ``viscosity approach to the Riemann problem for materials exhibiting change of phase
• The Riemann problem for certain classes of hyperbolic systems of conservation laws
• Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws
• Wave interactions and variation estimates for self-similar zero-viscosity limits in systems of conservation laws
• Solution of the Riemann problem for a class of hyperbolic systems of conservation laws by the viscosity method
• Existence of solutions to the Riemann problem for 2 × 2 conservation laws
• Existence of solutions to the Riemann problem for a class of hyperbolic conservation laws exhibiting a parabolic degeneracy
• One-Phase Riemann Problem and Wave Interactions in Systems of Conservation Laws of Mixed Type
• Existence of solutions to riemann problem for hyperbolic conservation laws containing δ-shock waves
• A limiting viscosity approach to Riemann solutions containing delta-shock waves for nonstrictly hyperbolic conservation laws
• Delta-shock waves as self-similar viscosity limits

This page was built for publication: An example of \(2\times 2\) hyperbolic conservation laws admitting delta-shock waves